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Finding the Fourth Proportional to 428,604.81, 642,907.17 and 144,271.50

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Solution

The fourth proportional to 428,604.81, 642,907.17 and 144,271.50 is: 216,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,604.81 : 642,907.17 = 144,271.50 : x
  2. Step 2: Convert to fraction form
    428,604.81/642,907.17 = 144,271.50/x
  3. Step 3: Cross multiply
    428,604.81x = 642,907.17 × 144,271.50
  4. Step 4: Simplify right side
    428,604.81x = 92,753,181,776.66
  5. Step 5: Solve for x
    x = 92,753,181,776.66/428,604.81
  6. Step 6: Final answer
    x = 216,407.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.